lesson
Name the accuracy before rounding
1 · Learn
Rounding selects a nearby multiple of a chosen unit. Identify the two neighbouring multiples and their halfway point. A positive whole number exactly halfway is rounded to the higher multiple in our convention.
Rounding to a million and to a thousand answer different questions. An estimate is useful for checking size but does not replace an exact answer when one is required.
2 · Worked example
6,749,500 rounds to 6,750,000 to the nearest thousand, but 7,000,000 to the nearest million. The different units explain the different answers.
3 · Your turn
Round 4,649,500 to the nearest thousand and nearest million.
Check your answer
4,650,000 and 5,000,000 respectively. For the million rounding, the value exceeds the 4,500,000 midpoint.
4 · Apply your learning
Choose three numbers near a rounding boundary and explain why two can round to the same multiple.
Adult guidance and safety
Ask the learner to explain the method and check it using a different representation. Supply place-value grids, fraction strips, accurate diagrams and measuring tools where needed. These examples need varied practice; a short correct answer alone does not establish fluency.
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